DLMF:1.17.E14 (Q673): Difference between revisions

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Revision as of 12:24, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 16:44, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(5 intermediate revisions by the same user not shown)
		Property / constraint
			${\displaystyle{\displaystyle a>0}}$ a>0
		Property / constraint: ${\displaystyle{\displaystyle a>0}}$ / rank
			Normal rank
		Property / Symbols used
			Q10915
		Property / Symbols used: Q10915 / rank
			Normal rank
		Property / Symbols used: Q10915 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$ \Diracdelta@{\NVar{x-a}}
		Property / Symbols used: Q10915 / qualifier
			xml-id: C1.S17.SS1.p1.m2aedec
		Property / Symbols used
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2ahdec
		Property / Symbols used
			Q10770
		Property / Symbols used: Q10770 / rank
			Normal rank
		Property / Symbols used: Q10770 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ \diff{\NVar{x}}
		Property / Symbols used: Q10770 / qualifier
			xml-id: C1.S4.SS4.m1ajdec
		Property / Symbols used
			Q10771
		Property / Symbols used: Q10771 / rank
			Normal rank
		Property / Symbols used: Q10771 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\int}}$ \int
		Property / Symbols used: Q10771 / qualifier
			xml-id: C1.S4.SS4.m3ajdec
		Property / Symbols used
			spherical Bessel function of the first kind
		Property / Symbols used: spherical Bessel function of the first kind / rank
			Normal rank
		Property / Symbols used: spherical Bessel function of the first kind / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$ \sphBesselJ{\NVar{n}}@{\NVar{z}}
		Property / Symbols used: spherical Bessel function of the first kind / qualifier
			xml-id: C10.S47.E3.m2adec

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Latest revision as of 16:44, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:1.17.E14	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\delta\left(x-a\right)=\frac{2xa}{\pi}\int_{0}^{\infty}t^{2}\mathsf{j}_{\ell}\left(xt\right)\mathsf{j}_{\ell}\left(at\right)\mathrm{d}t,}}$

0 references

DLMF id

DLMF:1.17.E14

0 references

constraint

${\displaystyle{\displaystyle a>0}}$

0 references

Symbols used

Q10915

Defining formula

${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$

xml-id

C1.S17.SS1.p1.m2aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2ahdec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1ajdec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3ajdec

0 references

spherical Bessel function of the first kind

Defining formula

${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$

xml-id

C10.S47.E3.m2adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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